| 一类非线性函数积分方程解的存在唯一性 |
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| 引用本文： | 张丽清,禤启沃. 一类非线性函数积分方程解的存在唯一性[J]. 中山大学学报(自然科学版), 1989, 0(4) |
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| 作者姓名： | 张丽清 禤启沃 |
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| 作者单位： | 中山大学计算机科学系，中山大学计算机科学系 |
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| 摘 要： | 研究一类非线性函数积分方程解的存在唯一性。引进一个刻划方程解性质的Banach空间,并在一定条件下证明了算子的局部压缩性质,然后证明了整体解的存在唯一性。
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| 关 键 词： | 非线性 函数方程 局部压缩 整体解 |
The Unique Solvability of a Class of Non--linear Functional Integral Equations |
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| Zhang Liqing,Xuan Qiwo. The Unique Solvability of a Class of Non--linear Functional Integral Equations[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 1989, 0(4) |
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| Authors: | Zhang Liqing Xuan Qiwo |
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| Affiliation: | Zhang Liqing;Xuan Qiwo Department of Computer Science |
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| Abstract: | This paper deals with the existence and uniqueness of the solution of a class of nonlinear functional integral equations. A Banach space characterizing the property of solution is first introduced, then a local contraction of an operator defined by equation is proved under some conditions, and finally the existence and uniqueness of the global solution is obtained. |
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| Keywords: | non-linearity functional equation local contraction global solution |
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